Solenoid S1 has N turns, radius R1 and length l. It is so long that its magnetic field is uniform nearly everywhere inside it and is nearly zero outside, Solenoid S2 has N2 turns, radius R2<R1.and the same length as S1 It lies inside S1 with their axes prallel. (a) Assume S1 carries variable current i. Compute the mutual inductance characterizing the emf induced is S2. (b) Now assume S2 carries current i. Compute the mutual inductance to which the emf in S1 is proportional. (c) State how we results of parts (a) and (b) compare with each other.

